Daily Practice · Higher
July 1977 5-a-day
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The batch download puts all 5 tiers' July 1977 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1977
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1977Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 2nd July 1977Make x the subject of y = 8x^2 - 9.
- 3rd July 1977y is inversely proportional to x. When x = 8, y = 15. Work out y when x = 5.
- 4th July 1977In triangle ABC, angle A is 41°, angle B is 108° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th July 19776 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th July 1977Four classes in order have frequencies 8, 9, 11, 6. Write down the cumulative frequency at the end of the third class.
- 7th July 1977A meal deal has 5 mains, 7 sides and 4 drinks. How many different meals are possible?
- 8th July 1977Factorise x^2 - 16.
- 9th July 1977y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 9.
- 10th July 1977A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 11th July 197717 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th July 197725 beetles are marked and released. Later 8 are caught, of which 2 are marked. Estimate the population.
- 13th July 1977A mass is 50 kg, correct to the nearest whole number. Write down the upper bound.
- 14th July 1977A region is defined by y <= -3x + 3. Should the boundary line be solid or dashed, and why?
- 15th July 1977y is directly proportional to x. When x = 2, y = 18. Work out y when x = 11.
- 16th July 1977The point (2, -5) is enlarged by scale factor -2 about the centre (-4, 1). Write down the coordinates of the image.
- 17th July 19771 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th July 1977A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th July 1977Write 5^-2 as a fraction.
- 20th July 1977Factorise x^2 - 3x - 40.
- 21st July 1977A town's population is 17000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 22nd July 1977Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 96 cm^3. Work out the volume of the smaller.
- 23rd July 197718 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th July 1977A box plot has a minimum of 18 and a maximum of 58. Work out the range.
- 25th July 1977Work out (4 x 10^6) x (8 x 10^6). Give your answer in standard form.
- 26th July 1977Work out the equation of the line parallel to y = 4x - 7 that passes through (5, 25).
- 27th July 1977A block has volume 35 cm^3 and density 4 g/cm^3. Work out its mass.
- 28th July 1977A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 29th July 19771 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th July 1977A box plot has minimum 11, lower quartile 21, median 28, upper quartile 34 and maximum 37. Work out the interquartile range.
- 31st July 1977Write the recurring decimal 0.5050... as a fraction in its simplest form.